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150019383312 = 2434170967733
BaseRepresentation
bin1000101110110111011…
…0100010000000010000
3112100020002221021210000
42023231312202000100
54424214430231222
6152530140010000
713560422501241
oct2135566420020
9470202837700
10150019383312
1158694038117
12250a9230900
13111ba5a7c86
147392198cc8
153d8065c9ac
hex22edda2010

150019383312 has 100 divisors (see below), whose sum is σ = 434460100140. Its totient is φ = 49976462592.

The previous prime is 150019383229. The next prime is 150019383317. The reversal of 150019383312 is 213383910051.

150019383312 is a `hidden beast` number, since 150 + 0 + 193 + 8 + 3 + 312 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 60651868176 + 89367515136 = 246276^2 + 298944^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (150019383317) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2180998 + ... + 2248730.

Almost surely, 2150019383312 is an apocalyptic number.

150019383312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150019383312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217230050070).

150019383312 is an abundant number, since it is smaller than the sum of its proper divisors (284440716828).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

150019383312 is a wasteful number, since it uses less digits than its factorization.

150019383312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69462 (or 69447 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 150019383312 in words is "one hundred fifty billion, nineteen million, three hundred eighty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 1709 3418 5127 6836 10254 13672 15381 20508 27344 30762 41016 46143 61524 67733 82032 92286 123048 135466 138429 184572 203199 246096 270932 276858 369144 406398 541864 553716 609597 738288 812796 1083728 1107432 1219194 1625592 1828791 2214864 2438388 3251184 3657582 4876776 5486373 7315164 9753552 10972746 14630328 21945492 29260656 43890984 87781968 115755697 231511394 347267091 463022788 694534182 926045576 1041801273 1389068364 1852091152 2083602546 2778136728 3125403819 4167205092 5556273456 6250807638 8334410184 9376211457 12501615276 16668820368 18752422914 25003230552 37504845828 50006461104 75009691656 150019383312